ho tc 2. The solar collector plate shown has thermal conductivity ka, length 2L, and thickness to and is separated from the ambient air with an air gap having thickness ta and conductivity ka and a glass cover with thickness tg. It receives a uniform radiation heat flux on the top, while the q"rad bottom surface is well insulated. TO The glass has transmissivity T and L absorptivity a and its top surface is T exposed to ambient at h, and Too The fluid is assumed to flow in the Insulation pipe at constant temperature Tb. a. Derive the governing equation and boundary conditions for plate and glass, assuming heat transfer in the air to be one dimensional. b. Nondimensionalize the equations and boundary conditions c. Numerically obtain the temperature distribution for the conditions shown in the table d. Determine the heat transfer to the pipe, with or without the glass cover. e. Determine heat transfer if the ambient temperature drops to 0C. 400 W/m.K 5 mm Ka .025 W/m.K ke 400 W/m.K 1.4 W/m.K 20 W/m.K te 2 mm T 20 ta 10 mm 60 C 300 W/m2 0.7 .8 a 0.1 kc hoo C 00 99 m ho tc 2. The solar collector plate shown has thermal conductivity ka, length 2L, and thickness to and is separated from the ambient air with an air gap having thickness ta and conductivity ka and a glass cover with thickness tg. It receives a uniform radiation heat flux on the top, while the q"rad bottom surface is well insulated. TO The glass has transmissivity T and L absorptivity a and its top surface is T exposed to ambient at h, and Too The fluid is assumed to flow in the Insulation pipe at constant temperature Tb. a. Derive the governing equation and boundary conditions for plate and glass, assuming heat transfer in the air to be one dimensional. b. Nondimensionalize the equations and boundary conditions c. Numerically obtain the temperature distribution for the conditions shown in the table d. Determine the heat transfer to the pipe, with or without the glass cover. e. Determine heat transfer if the ambient temperature drops to 0C. 400 W/m.K 5 mm Ka .025 W/m.K ke 400 W/m.K 1.4 W/m.K 20 W/m.K te 2 mm T 20 ta 10 mm 60 C 300 W/m2 0.7 .8 a 0.1 kc hoo C 00 99 m